各向异性非线性 Dirichlet 问题的正则性结果

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2024-04-30 DOI:10.1080/17476933.2024.2336975

Fessel Achhoud, G. Rita Cirmi

引用次数: 0

摘要

在本文中，我们考虑与模型方程 -div(a(x)|∇u|p-2∇u)-div(|u|(r-1)q+1|∇u|q-2∇u)=finΩ 相关的均相 Dirichlet 问题，其中 Ω 是 RN 的有界开放子集，N>2, 1本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Regularity results for an anisotropic nonlinear Dirichlet problem

In this paper we consider the homogeneous Dirichlet problem associated to the model equation −div⁡(a(x)|∇u|p−2∇u)−div⁡(|u|(r−1)q+1|∇u|q−2∇u)=finΩ, where Ω is a bounded open subset of RN,N>2, 1

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.